Affiliation:
1. Department of Mathematics, National Institute of Technology, Rourkela 769008, India
Abstract
Abstract
The article aims to propose the Lerch operational matrix method to solve a stochastic fractional differential equation. In this approach, the Lerch polynomials have been used as a basis function. Then, the product operational matrix, integral operational matrix, stochastic operational matrix, and operational matrix of fractional integral based on the Lerch polynomials have been constructed. The main characteristic of this method is to reduce the stochastic fractional differential equation into a system of algebraic equations by using derived operational matrices and suitable collocation points. Moreover, the convergence and error analysis of the presented method is also discussed in detail. Additionally, the applicability of the proposed technique is also demonstrated by solving some examples. To confirm the accuracy and effectiveness of the suggested technique, a comparison between the results produced by the proposed method and those obtained by other methods has been provided.
Subject
Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering
Reference30 articles.
1. Lerch Matrix Collocation Method for 2D and 3D Volterra Type Integral and Second Order Partial Integro Differential Equations Together With an Alternative Error Analysis and Convergence Criterion Based on Residual Functions;Turk. J. Math.,2020
2. Legendre Expansion Methods for the Numerical Solution of Nonlinear 2D Fredholm Integral Equations of the Second Kind;J. Appl. Math. Inf.,2013
3. A Wavelet-Based Novel Technique for Linear and Nonlinear Fractional Volterra–Fredholm Integro-Differential Equations;Comput. Appl. Math.,2022
4. Triangular Functions (TF) Method for the Solution of Nonlinear Volterra–Fredholm Integral Equations;Commun. Nonlinear Sci. Numer. Simul.,2010
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